On the operator space UMD property for noncommutative Lp-spaces
| dc.creator | Musat, Magdalena | |
| dc.date | 2005-01-03 | |
| dc.date.accessioned | 2026-07-07T05:15:48Z | |
| dc.date.available | 2026-07-07T05:15:48Z | |
| dc.description | We study the operator space UMD property, introduced by Pisier in the context of noncommutative vector-valued Lp-spaces. It is unknown whether the property is independent of p in this setting. We prove that for 1<p,q<\infty, the Schatten q-classes Sq are OUMDp. The proof relies on properties of the Haagerup tensor product and complex interpolation. Using ultraproduct techniques, we extend this result to a large class of noncommutative Lq-spaces. Namely, we show that if M is a QWEP von Neumann algebra (i.e., a quotient of a C^*-algebra with Lance's weak expectation property) equipped with a normal, faithful tracial state τ, then Lq(M,τ) is OUMDp for 1<p,q<\infty. | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501033 | |
| dc.identifier | http://arxiv.org/abs/math/0501033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73755 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | Probability | |
| dc.subject | 46L52, 47L25 (Primary) 60G46 (Secondary) | |
| dc.title | On the operator space UMD property for noncommutative Lp-spaces | |
| dc.type | text |